What is the Least Common Multiple of 14374 and 14384?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 14374 and 14384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14374 and 14384, than apply into the LCM equation.

GCF(14374,14384) = 2
LCM(14374,14384) = ( 14374 × 14384) / 2
LCM(14374,14384) = 206755616 / 2
LCM(14374,14384) = 103377808

Least Common Multiple (LCM) of 14374 and 14384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14374 and 14384. First we will calculate the prime factors of 14374 and 14384.

Prime Factorization of 14374

Prime Factorization of 14384

Now multiplying the highest exponent prime factors to calculate the LCM of 14374 and 14384.

LCM(14374,14384) = 2⁴ × 7187¹ × 29¹ × 31¹
LCM(14374,14384) = 103377808